Online GCD Calculator is useful to find the GCD of 396, 855, 164, 106 quickly. Get the easiest ways to solve the greatest common divisor of 396, 855, 164, 106 i.e 1 in different methods as follows.
Given Input numbers are 396, 855, 164, 106
In the factoring method, we have to find the divisors of all numbers
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
GCD of numbers is the greatest common divisor
So, the GCD (396, 855, 164, 106) = 1.
Given numbers are 396, 855, 164, 106
The list of prime factors of all numbers are
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 164 are 2 x 2 x 41
Prime factors of 106 are 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 396, 855, 164, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(396, 855) = 37620
GCD(396, 855) = ( 396 x 855 ) / 37620
= 396 / 855
= 396
Step2:
LCM(9, 164) = 1476
GCD(9, 164) = ( 9 x 164 ) / 1476
= 9 / 164
= 9
Step3:
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
= 1 / 106
= 1
So, Greatest Common Divisor of 396, 855, 164, 106 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 396, 855, 164, 106
The greatest common divisor of numbers 396, 855, 164, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 855, 164, 106 is 1.
1. What is the GCD of 396, 855, 164, 106?
GCD of given numbers 396, 855, 164, 106 is 1
2. How to calculate the greatest common divisor of 396, 855, 164, 106?
We can find the highest common divisor of 396, 855, 164, 106 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 396, 855, 164, 106 i.e 1.
3. How can I use the GCD of 396, 855, 164, 106Calculator?
Out the numbers 396, 855, 164, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.